A rectangular prism has a length of 4 point 2 cm, a width of 5 point 8 cm, and a height of 9 point 6 cm. A similar prism has a length of 14 point 7 cm, a width of 20 point 3 cm, and a height of 33 point 6 cm. The dimensions of the smaller prism are each multiplied by what factor to produce the corresponding dimensions of the larger prism?